psd files from PS with layers Importing into AE (CS6)

It's 7 years later and I'm struggling with seemingly the same problem, though the solution by now is undoubtedly different. With so many changes to Adobe products, and help files scattered across so many locations, and full of all sorts of confusing legacy options, the more I look for an answer, the more confused I seem find myself. If only there was a centralised, one stop solution to guide me through all the applications of the CC, solutions to such simple problems mightn't be scattered amongst an overabundance of informaton, which can be just as bad as no information at all. 

C.p,  thanks for your reply.  If I convert to RGB I LOOSE all my layers...I don't want to loose them. 

Have you converted a copy of the CMYK file to the appropriate RGB space and tried that yet? (Image > Mode > … or better Edit > Convert to Profile)